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242117439312 = 24373725177591
BaseRepresentation
bin1110000101111101010…
…0101110111101010000
3212010221120200021200010
43201133110232331100
512431324031024222
6303121024554520
723330616164160
oct3413724567520
9763846607603
10242117439312
1193754a89791
123ab10782a40
1319aa6c872b8
14ba0b9985a0
156470cba80c
hex385f52ef50

242117439312 has 160 divisors (see below), whose sum is σ = 737076824064. Its totient is φ = 67037760000.

The previous prime is 242117439283. The next prime is 242117439329. The reversal of 242117439312 is 213934711242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3081637 + ... + 3159227.

Almost surely, 2242117439312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242117439312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368538412032).

242117439312 is an abundant number, since it is smaller than the sum of its proper divisors (494959384752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242117439312 is a wasteful number, since it uses less digits than its factorization.

242117439312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77897 (or 77891 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The spelling of 242117439312 in words is "two hundred forty-two billion, one hundred seventeen million, four hundred thirty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 251 259 296 336 444 502 518 592 753 777 888 1004 1036 1506 1554 1757 1776 2008 2072 3012 3108 3514 4016 4144 5271 6024 6216 7028 9287 10542 12048 12432 14056 18574 21084 27861 28112 37148 42168 55722 65009 74296 77591 84336 111444 130018 148592 155182 195027 222888 232773 260036 310364 390054 445776 465546 520072 543137 620728 780108 931092 1040144 1086274 1241456 1560216 1629411 1862184 2172548 2870867 3120432 3258822 3724368 4345096 5741734 6517644 8612601 8690192 11483468 13035288 17225202 19475341 20096069 22966936 26070576 34450404 38950682 40192138 45933872 58426023 60288207 68900808 77901364 80384276 116852046 120576414 136327387 137801616 155802728 160768552 233704092 241152828 272654774 311605456 321537104 408982161 467408184 482305656 545309548 720587617 817964322 934816368 964611312 1090619096 1441175234 1635928644 2161762851 2181238192 2882350468 3271857288 4323525702 5044113319 5764700936 6543714576 8647051404 10088226638 11529401872 15132339957 17294102808 20176453276 30264679914 34588205616 40352906552 60529359828 80705813104 121058719656 242117439312